{
  "id": "2210.01731",
  "version": "v1",
  "published": "2022-10-04T16:44:57.000Z",
  "updated": "2022-10-04T16:44:57.000Z",
  "title": "Semi-ampleness of generalized pairs",
  "authors": [
    "Jihao Liu",
    "Lingyao Xie"
  ],
  "comment": "25 pages",
  "categories": [
    "math.AG"
  ],
  "abstract": "We establish a Koll\\'ar-type gluing theory for generalized log canonical pairs associated with crepant log structures and use it to prove semi-ampleness results of generalized pairs. As consequences, we prove the existence of flips for any generalized log canonical pair, and show that generalized log canonical singularities are Du Bois.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-04T16:44:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14E30",
      "14C20",
      "14E05"
    ],
    "keywords": [
      "generalized pairs",
      "generalized log canonical pair",
      "crepant log structures",
      "semi-ampleness results",
      "kollar-type gluing theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}